Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity

DOI10.1016/j.crma.2012.06.008zbMath1248.35149OpenAlexW2138438514MaRDI QIDQ447886

Patrick Penel, Jiří Neustupa

Publication date: 30 August 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.06.008

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (5)

A regularity criterion for 3D Navier-Stokes equations via one component of velocity and vorticity ⋮ Regularity criteria for the Navier-Stokes equations based on one component of velocity ⋮ Helicity and regularity of weak solutions to 3D Navier-Stokes equations ⋮ A regularity criterion for the Navier-Stokes equations based on the gradient of one velocity component ⋮ Criteria for the regularity of the solutions to the Navier-Stokes equations based on the velocity gradient

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• One component regularity for the Navier–Stokes equations
• Regularity of a Weak Solution to the Navier--Stokes Equations via One Component of a Spectral Projection of Vorticity

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